Recovery and regularization of the initial temperature distribution in a cylinder

International Journal of Heat and Technology

Volumn 21, Issue 2, 2003, Pages 155-160

  Masood, Khalid ^a   Messaoudi, S ^a   Zaman, F D ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; HEAT CONDUCTION; INVERSE PROBLEMS; MATHEMATICAL MODELS; SPURIOUS SIGNAL NOISE; TEMPERATURE DISTRIBUTION;

CIRCULAR CYLINDERS; HEAT EQUATIONS; QUASI INVERSION METHODS;

CYLINDERS (CONTAINERS);

EID: 3042656483     PISSN: 03928764     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. H.W. Engl, M. Hanke and A. Neubauer, Regularization of Inverse Problems, Kluwer, Dordrecht, pp. 31-42, 1996.
2. C. F. Weber, Analysis and solution of the ill-posed problem for the heat conduction problem, International Journal of Heat and Mass Transfer 24, pp. 1783-1792, 1981.
3. L. Eiden, Inverse and Ill-Posed Problems, (H. W. Engl and C. W. Groetsch, eds.), Academic Press, Inc., pp. 345-350, 1987.
4. Vedavarz, K. Mitra and S. Kumar, Hyperbolic temperature profiles for laser surface interactions, J. Appl. Phys. 76(9), pp. 5014-5021, 1994.
5. U. Gratzke, P. D. Kapadia and J. Dowden, Heat conduction in high-speed laser welding, J. Phys. D: APPL. Phys. 24, pp. 2125-2134, 1991.
6. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, MCGraw Hill, New York, 1978.
7. J. Beck, B. Blackwell and RStC. Clair, Inverse Heat Conduction Problems, Wiley, New York, 1985.
8. N. Al-Khalidy, On the solution of parabolic and hyperbolic inverse heat conduction problems, Int. Journal of Heat and Mass Transfer, 41, pp. 3731-3740, 1998.
9. J.-L. Lions and R. Lattes, Méthode de Quasi- réversibilité et Applications, Dunod, Paris, 1967.
10. V. K. Ivanov, On ill-posed problems. Mat. Sb., 61 (2), pp. 211-223, 1963 (in Russian).
11. A. N. Tikhonov and V. Ya. Arsenin, Solution of Ill-Posed Problems, John Wiley, New York, 1977.
12. A. V. Moultanovsky, Mobile HVAC systemevaporator optimization and cooling Capacity estimation by means of inverse problem solution, Inverse Problems in Engng., 10(1), pp. 1-18, 2002.
13. V. V. Vasin and A. L. Ageev, Ill-Posed Problems with a Priori Information, VSP, Utrecht, 1995.
14. K. Masood, S. Messaoudi and F. D. Zaman, Initial Inverse Problem in Heat Equation with Bessel Operator, Int. Journal of Heat and Mass Transfer, 45(14), pp. 2959-2965, 2002.
15. P. C. Hansen, Rank-Deficient and Discrete Hi-Posed Problems. Numerical Aspects of Linear Inversion, SIAM, 1997.